Results 51 to 60 of about 2,244,879 (350)
A NEW PROPOSED METHOD FOR SOLVING AN ELLIPTIC CURVE DISCRETE LOGARITHM PROBLEM
Journal of Kufa for Mathematics and Computer, 2012 In this work, we present a new approach for solving Elliptic Curve Discrete Logarithm Problem. This method provides a new access to the field of attacking methods the Elliptic Curve Cryptosystems.
Ammar Ali Neamah
doaj +1 more source
ED25519: A New Secure Compatible Elliptic Curve for Mobile Wireless Network Security
Jordanian Journal of Computers and Information Technology, 2022 Wireless Sensor Networks (WSNs) create various security threats such as application variance in different sectors along with the model of cryptographic primitive and necessity.
MAUSAM DAS, Zenghui Wang
doaj +1 more source
Journal of Number Theory, 1993 Let \(J_ 0(N)/ \mathbb{Q}\) denote the Jacobian of the modular curve \(X_ 0(N)/ \mathbb{Q}\). Fix a prime \(p \geq 5\), and let \(K\) denote the maximal unramified extension of \(\mathbb{Q}_ p\). Given an abelian variety \(A/K\), the connected component of zero of the special fiber of its Néron model is an extension of an abelian variety of dimension \(
openaire +3 more sources
Advanced Engineering Materials, EarlyView.The influence of Hot Isostatic Pressing (HIP) temperature on the microstructure and creep performance of powder bed fusion–laser beam processed CM247LC superalloy is investigated. Grain growth and γ’ precipitate evolution are characterized following HIP at varying temperatures.
Ahmed Fardan +4 more
wiley +1 more source
An exploration of affine group laws for elliptic curves
Journal of Mathematical Cryptology, 2011 Several forms of elliptic curves are suggested for an efficient implementation of Elliptic Curve Cryptography. However, a complete description of the group law has not appeared in the literature for most popular forms.
Hisil Huseyin +3 more
doaj +1 more source
Ray class fields generated by torsion points of certain elliptic curves [PDF]
, 2010 We first normalize the derivative Weierstrass $\wp'$-function appearing in Weierstrass equations which give rise to analytic parametrizations of elliptic curves by the Dedekind $\eta$-function.
Dong +3 more
core
Advanced Engineering Materials, EarlyView.Laser remelting of a CrMnFeCoNi high‐entropy alloy reveals that optimal chemical homogenization occurs between 30 and 40 J·mm−2. Within this range, elemental segregation is reduced by over 30% compared to the as‐cast state. The study establishes this window as a fast, effective alternative to prolonged annealing for achieving uniform elemental ...
Ajay Talbot +5 more
wiley +1 more source
THEORETICAL ASSUMPTIONS FOR AN INTRODUCTION TO ELLIPTIC CURVE CRYPTOGRAPHY
STED Journal, 2023 Understanding elliptic curves contributed to solving mathematical problems in number theory that had been unsolved for centuries. Elliptic curves were also used in solving one of the millennial problems, which is Fermat's last theorem.
Ognjen Milivojević, Boris Damjanović
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Elliptic curves with maximal Galois action on their torsion points
, 2008 Given an elliptic curve E over a number field k, the Galois action on the torsion points of E induces a Galois representation, \rho_E : Gal(\bar{k}/k) \to GL_2(\hat{Z}).
Zywina, David
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Advanced Functional Materials, EarlyView.This research applies advanced laser beam shaping (LCoS‐SLM) to fabricate the Ti‐6Al‐4V alloy via laser powder bed fusion. A tailored beam is used to prevent martensite formation and create a dual α+β microstructure by controlling cooling rates.
Reza Esmaeilzadeh +8 more
wiley +1 more source